Did putting in a new battery fry a fuse on my 820-2850 Logic Board?

I have a MacBook Pro 15” Mid 2010 (A1286) i7 2.66 GHz, Logic Board 820-2850-A.

I recently replaced the battery (non-Apple authorized), and added RAM memory from 4 to 6GB. It all worked fine for about 24 hours and I shut down normally, and did not try to boot the machine until about 4 days later.

Now, when I press the power button, no display, and no startup chime. I hear the hard drive spin for about 2-3 seconds, then click off (like it sounds when you shut down normally by holding the power button).

I have done a lot of Internet research, and have tried the following:

• Put the RAM back to the original config. (2 x 2GB original SoDIMMS) tried as many different RAM combination configs as I could
• Carefully reseated the RAM sticks
• Removed the new battery, charger still green.
• Tried again with the OLD, dead Apple battery
• Tried a different, newer, 85 watt MagSafe Power Adapter

Both my Power Adapters still act normally:

Green light when powered, and Yellow light when charging the new battery)

Tried both SMC and NVRAM resets (since it seems to be a power issue, these resets did not start or complete)

Watched all of Louis Rossman’s videos about problems common to this logic board (ha!)

I ordered the capacitor he recommended to replace and rework (circled in Yellow in the photo). I’m not an advanced Micro-solderer, but thought it might be worth a try (I have not received the parts yet).

While waiting for these parts to arrive, I spotted what I believe to be a very badly burned out yellow or brown fuse less than an inch “West of” the GPU (fans and heat sink being North and RAM slots being South )

I hope you can see the photos I posted.   The “fuse” or part in question is circled in RED.

If you know the name of that fuse, and how I can buy a replacement to rework it, I would be MOST grateful! It is very possible I will end up sending this old PB15 to Mac heaven!

If you’ve read this far, thanks! I have decided I will really be happy if I can repair it without spending over $100 (or 200 or 300) for a replacement board.