Like Pat said, shout out if you want to ride during the week and maybe 1 of us can go with you.
Eagle trail is closed now. It's just a reference. Actually from your perspective, it will just be a trail closed sign. When you hit it, go right, up the ridge.
When you get up to the top, you are on the ridge. I don't know if that's "ridge trail" or not, but you won't be riding it. You go down, and at some point on your left is a yellow blaze trail. IMO this is the best way out. It gives you a bit more to ride, but not a lot more. If you miss it, no big deal, just take the next left. If you miss it, you pop out of the woods facing the railroad. Go left, you'll find it.
If you do find the first left (yellow) take it until you hit a trail, then go right down the hill. If you go left you will go back up into the park and some brutal hike-a-bike trails that will just drop you to the (likely overgrown) Eagle Trails, which may or may not have eagles but are technically closed now. Either way not worth the time as they are long since pretty much abandoned because the park maintenance sucks.
So if you found the yellow, took it to the end, then went right - here you will drop down for a minute, then go left. And this will bring you back to the lot.
If you miss the yellow trail, take the next left. This will bring you to the same place eventually, more or less. You may have to take another right-left, and go through a rock garden. Again, hard to get lost. the wrong left will bring you to a cabin & car, dead end. If you miss one mroe turn - again you hit the field & tracks, go left.
You can pretty much explore this entire side in like 30 minutes, riding all the trails in both directions, more or less.
DO NOT RIDE BLUE! If you do, don't say I didn't warn you.