Inclusion Criteria:
1. Patients aged 2 years or older at the time of consent or assent.
2. Patients diagnosed with ISSVA classification of common VM, common (cystic) LM (including mixed type consisting mainly of either VM or LM), or KTS/CLOVES syndrome.
3. Patients who cannot be cured by resection, who are difficult to resect based on the assessment of the Investigator, or who are considered refractory to available treatment by the Investigator, or who have a contraindication to available treatment.
4. Patients with at least one target lesion at least 4 cm in the longest diameter.
5. Patients with at least one MRI-volumetric target lesion at screening that is determined to be evaluable by the central imaging evaluator.
6. Patients with symptomatic disease, defined as:
・ For patients ≥8 years old: Pain NRS of ≥1 and ≤8 score at the screening visit will be eligible only if their daily pain NRS recorded via ePRO from screening to Day 1 (Week 0) does not show a maximum absolute change of ≥6 points. If patients are taking analgesic medication, there must be no change in the type or dosage of analgesic during the screening period. If patients do not have qualifiable pain, then Fatigue or Bleeding/Oozing NRS of ≥1 and ≤8 score at the screening visit is required. Patients with ≥6 points absolute change in pain NRS are eligible if at least one of either Fatigue OR Bleeding/Oozing NRS is ≥1 and ≤8.
* For patients ≥3 years old to \<8 years old: Wong-Baker FACES pain rating scale equal to or greater than 2 points at screening visit. Patients who are ≥3 years old to \<8 years old without qualifiable pain will be recruited providing they have symptomatic disease as judged in the opinion of the Investigator (ie, any visible lesion or lesion affecting activities of daily living), and as far as they meet other inclusion criteria.
* For patients 2 years old: Symptomatic disease as judged in the opinion of the Investigator (ie, any visible lesion or lesion affecting activities of daily living), and patients will be recruited as far as they meet other inclusion criteria.
7. Patients whose pain from vascular malformations has been stable for at least 30 days prior to screening and, if taking analgesic medication, does not require a change in the type of analgesic medication or its dosage during the screening period.
8. Patients who agree that they or their partner (if either of them is of childbearing potential) will use appropriate contraception (eg, condom and spermicide combination, low-dose pills or other appropriate contraceptive methods, sterilization, intrauterine device) from the time of consent until 90 days after the last dose of study intervention.
9. Patients or their LAR who are able to give age-appropriate informed consent at the time of screening.
10. Patients who are judged by the Investigator to be able to comply with the instructions of the Investigator and the study coordinator regarding the matters specified in the protocol, such as the use of study intervention and concomitant use of prohibited drugs.
Exclusion Criteria:
1. Patients with the following diseases: Simple telangiectatic malformation, lymphangiomatosis, lymphangiectatic malformation associated with Gorham's disease, lymphangiectasia, familial cutaneous mucocutaneous venous malformation, blue rubber ball-like nevus syndrome, M-CM/MCAP, CLAPO syndrome, Proteus syndrome, Parkes Weber syndrome, Sturge-Weber syndrome, Mafucci syndrome, Osler's disease, Cowden's disease, or Adams-Oliver syndrome.
2. Patients with uncontrolled diabetes mellitus (HbA1c ≥ 7.0%) or diseases with abnormal glucose metabolism (glycogenic diseases, galactosemia, primary lactose intolerance, etc).
3. Patients with ischemic heart disease, arrhythmia, or heart failure (NYHA III or IV).
4. Patients with gastrointestinal disorders that affect drug absorption, as determined by the Investigator.
5. Patients with concomitant or pre-existing serious drug hypersensitivity to PI3Kα inhibitors.
6. Patients with allergy history of grade ≥ 3 and/or history of grade ≥ 3 allergic reactions to drug.
7. Patients with known hypersensitivity to quinine.
8. Patients with concomitant or pre-existing alcohol or drug abuse.
9. Patients with ANC of \<1.5×10\^9/L.
10. Patients with acute or chronic kidney disease and/or dialysis dependence. Patients with screening eGFR \<30 mL/min/1.73m\^2 using the beside Schwartz equation for patients aged \<18 years of age or CKD-EPI formula for \>18 years of age will also be excluded.
11. Patients who are judged by the Investigator to have hepatic impairment.
12. Patients with total bilirubin ≥1.5×ULN for age (unless there is a history of Gilbert Syndrome), ALT ≥2×ULN for age, or AST ≥2×ULN for age will be excluded.
13. Patients with target lesion infection that require treatment within 28 days prior to screening.
14. Patients who have undergone invasive treatment, including sclerotherapy or laser therapy, for the target lesion within 84 days prior to screening.
15. Patients who have used other PI3Kα inhibitors or sirolimus within 84 days prior to screening.
16. Patients who have participated in other clinical studies within 90 days prior to the date of consent.
17. Patients who have participated in a clinical study of KP-001 for any period and have received an investigational drug in the past year.
18. Patients wearing orthodontic appliances, cochlear implants, etc, that may affect MRI, or patients in whom MRI is not feasible or, for example, patients who may have a contraindication to sedation and would require sedation in order to have MRI completed.
19. Patients who are unable to take oral medications.
20. Pregnant women, lactating female patients, female patients who may be pregnant, female patients who wish to become pregnant during the study period and up to 90 days after the last dose of study intervention, or male patients who have partners who wish to become pregnant.
21. Patients with any other illness or medical condition who are judged by the Investigator to be inappropriate as patients for this study.
22. Patients who have received or plan to receive live vaccines during the study period.
