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Net Income (Loss) Per Share - Common Stock Equivalents Excluded from Calculation of Diluted Net Loss per Share Attributable to Common Stockholders (Parenthetical) (Details) - shares	9 Months Ended
	Sep. 30, 2025	Sep. 30, 2024
Earnings Per Share [Abstract]
Number of shares out of money	2,950,220	7,891,144

X

- Definition

Number of shares out of money.

+ References

No definition available.

+ Details

Name:	meg_NumberOfSharesOutOfMoney
Namespace Prefix:	meg_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	us-gaap_EarningsPerShareAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration