The aviation authorities in all european countries, except uk, do recognize
the QCAA SIM check in respect of renewal of your licence.
The typerating is valid for flights with Qatar Airways only, but will not
You can renew it anytime after a SIM check with an approved TRE from
the states aviation authority.
Normally your new company will do that.
So if you are not planning to leave QR, simply do your state approved
medical before your licence expires, e.g. 7 years, and send it together with
your QR LPC, flight hours on type and the usual documents to your civil aviation office.