When engine is warm there is blue smoke coming from the dual exhaust, also misfire code reading on cylinder number five

Misfires are a tough to find even for a mechanic. He has to check sensors with his scanner and injectors. If compression is okay it can be a bad wire/spark plug really anything these are best handled by a professional for your cheapest option.

Blue smoke, check your PCV valve and engine breathing system.

I take it all this was done for the misfire and smoke?

Blue smoke, misfire on 5 in a 5.7, could be a split intake valve stem seal or a collapsed oil control ring. Pull the plug out and see what it looks like. Borrow/rent an inspection camera and take a look inside the cylinder for carbon on the head/piston. Compare it to a couple other cylinders. If it is clean then it probably is not the seal. If it is oily/sooted up then you are getting oil. Compression test would not show either one. Both require visual inspection.

Normally on this engine the seals for valve stems wear out at the mileage and age that would clear up smoke if all intakes were replaced but misfire is something else. Unless guides were worn out.

What did they do for the fine tune? Did that include all the new parts or were those to repair the current problem? It is not unheard of to get a bad part out of the box.

If you have the resources put air into cylinder five and see if you can see air leaking into valve cover remove the valve cover if it is fouling like really quick it may be a broken ring. Or if you pull valve cover and a lot of oil comes out from that then clean your drain returns and clean out sludge then see if it continues.

Scrape out as much as you can then once drain holes are clean. I used to use a little mineral spirits, then change oil. That is if you have sludge and check PCV to see if it works.

It's possible that an intake gasket has cracked and it's pulling oil in. Not real common for them to fail that way (these usually fail on the ends and leak coolant into the engine). Not that hard to pull the upper off and snake a camera in and check.

If it looks like a fog machine then pressure check coolant system for a blown head gasket or intake gasket

Sure

Rent a manual from us you can print instructions right from manual for what ever you need to do on your truck it's best done inside vehicle.

That looks like the vacuum port adapter for the power brake booster. Circled part yes?
Think it's a salvage yard or dealer only piece. Never really needed one. I'll look at the parts book and see if it shows up.