An extender with a built-in switch will work great IF the signal between the house and garage is robust enough. 65 feet for wi-fi is tricky. If there isn't much interference around, and the two devices can "see" each other without obstruction, then you may be in business. If your extender can be equipped with an external antenna, that might help, too.
David Vernier's comment is probably accurate for most situations. But, of course the cable run may be difficult to install, weatherproof, and maintain. Scope out the wi-fi signal in the garage with a laptop, tablet, or Maestro. You might be lucky!
A 100ft of CAT5 works as well. At my remote station, I run about 280ft of the cheapest stuff I had lying around and I haven't had an issue.
I have run my 6300 with AC PowerLine extenders as well to extend the WiFi. The ones from TP-Link seem to work better than others. I have been using a few of them on some IP Phones as well and haven't noticed any dropouts while using them.
While it is possible they can produce some HF noise, I have not heard them at all.
I agree that WiFi extenders are a waste of time (I've test a few for work) and actually make the problem worse. But, they sell lots as it looks like you have full 'bars' of Wifi service but you bad latency.
Order a set of PowerLine devices from Amazon and if they don't work out, you can return them. It is faster than running fiber or CAT5 and it might just solve your problem with minimal effort.
I did the short fiber run and had more noise on the radio with fiber-converter power supply than what it was worth. And to top it off it is 5 volts.
So with fiber media converter you still have ligthening protection to do on the radio side on the 120 volt 5 volt supply to the media converter.
Run cat 5 and put inside 1/2 pvc conduit is cheap for the install if you can bury it.
If you can get cat5 fairly close to the garage outside somewhere put in Access Point and hardwired to router in the home to the outside with short run of cat5. You will have much stronger and better wi-fi signal with AP closer to the garage or aimed at the garage.
Stick the AP on the side of the house or on a Firm pole etc etc.
Or If you think wi-fi is strong enough the way it is get AP in the garage and aim it back to the house towards your router in the house and connect the AP to a switch or direct to the flex.
Lot of ways with radio being LAN capable.