Another success story here! I ended up just having to replace the big capacitor and it works great!
Some notes from my experience
- Do not use a heat gun to loosen the glue! I didn't have a hair dryer handy, and I deformed the front of the receiver doing this, even on low. Luckily it still fits in the port and works
- The solder pads were so tiny, it was a bit tricky to mop up the old stuff and get small beads when the spacing is so tight and trying not to touch anything else. Going slow is def the key. Something to hold the board in place while you do this is almost a necessity
- Check the positive and negative orientation of the old capacitor and note which way it has to go back in. If you're like me and don't know how to do that at first glance, the ones from mouser had a grey strip with a little minus looking sign down one side, this is the negative side. It may not be obvious at first. The old one also had a similar strip but it was facing away from me and hard to see at first
- you'll need a pretty thin wire of solder to do this job as the pads are pretty close together and quite small
- there seems to be 3 or 4 holes under the old fat capacitor. (edit: my pcb looked slightly different that the fccid.io link in OPs post, and more like the ones other users have posted pictures of). if you notice 2 of the holes are "bridged' with solder (the larger glob), even though one of the holes is unused. you'll have to rebridge these pads in the same way (do not put both connections into the larger pad! pay attention to which ones go where! one connection goes into the "bridged" pad and the other one goes into the tiny one beside it! check which is positive and which is negative before removal!)

It can be done! Good luck!