Summary of Significant Accounting Policies - Additional Information (Detail) $ in Millions	Mar. 31, 2026 USD ($)
Healthcare Systems of America [Member] \| Variable Interest Entity, Not Primary Beneficiary [Member]
Significant Accounting Policies [Line Items]
Remaining funding commitment	$ 7.6

Variable interest entity remaining funding commitment.

No definition available.

Name:	mpt_VariableInterestEntityRemainingFundingCommitment
Namespace Prefix:	mpt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant