LOL, I would slow down a bit. Pull the heads, the oil pump, timing set, lifters and the camshaft and see what you find. If you've already decided to upgrade the camshaft, you'll need the following:
Genuine Delphi LS7 lifters from Michigan Motorsports with genuine GM lifter trays.
Hold off on the pushrods until you get the heads installed and measure.
I would have the heads checked over by a machine shop. Have them skim the heads if they check out.
Felpro head gaskets
OEM MLS exhaust manifold gaskets. Pick up your manifold to pipe gaskets as well. Often the passenger side is a donut and the driver's side is a thin steel one.
ARP head bolts, much easier to torque the old-fashioned way instead of using the torque to yield plus applying the angle. So no, your current bolts are not reusable. One time use on the TTY.
You're dealing with a Jasper rebuild, so I think it's safe to assume they went low budget on the parts. I would go for a quality timing set with tensioner, and a Melling 10296 oil pump that comes with the +10 PSI spring installed.
You want to drop the oil pan and make sure they plugged the oil pressure relief valve that's in the pan. Several sources online where you can pick up a stainless steel Allen head plug with a copper washer for it. Amazon has them. The oil pump will come with the o-ring for the pickup tube.
You'll need the crankshaft locking tool that bolts in place of the starter.
And a new OEM harmonic balancer bolt. You can spend a little more and avoid the torque to yield of the OEM, and go for an ARP bolt that is reusable.
Camshaft. You'll have to decide what you want. You can use an oem L92 non AFM camshaft and retain the 400 plus horsepower in stock trim, keeping the VVT. Or lose the VVT and go with and aftermarket camshaft for more top end power. (You'll get a lot of recommendations on that)
Most likely you have a lifter that isn't pumping up all the way. In other words it's not collapsed, it's just not pumping up all the way. And that could be a very small amount, almost imperceptible by checking the rockers with the engine off.
It should probably be said that if you're just looking to fix the problem, you can always just pull the heads and replace the lifters with new GM lifter trays. All depends on what you want to do.