Iran has rather few friends in the GCC right now. Qatar is prettty much it.
If Turkey wants to help Qatar to fend off Saudi aggression, then Iran will quite certainly allow Turkish non-strike military aircraft free pratique to overfly Iranian airspace to access Qatari airspace.
Bahrain's nominal control of some Qatari airspace through the Bahrain FIR is not being abused by Bahrain and is most unlikely to be so.
Quite apart from anything else, it would be a trivially simple matter for Turkey to charter some civil aircraft to fly military men and materiel through Iranian airspace. No questions asked; no lies told. That sort of thing has been done before, y'know.
