Good idea. I know fATPL's working as Cabin Crew for target airlines. It can only help their application when they start recruiting flightdeck crew again.
By law the company must advertise internally for positions. Inform the HR manager that you are eligible for FO positions and he will ensure that the advert goes first on the company notice board before it hits Flight.
You might still not meet the minimum requirements but you would get first shot.
Consider jobs in Operations, Crewing or perhaps Despatching for the agent the target airline employs.
Good luck,
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