Just got some new additions for my fish tank

[MX_KEVIN]

Well that is a bad idea to seal it up like that.
You need to allow for air to escape---gasses will build up.
Eventually the humidity will build up and cause the temp in the tank to increase.
You have to have evaporation all the time.

Invert you acclimate slowly like you are doing and a good thing to use is an IV bag you can get at a medical suppy store. Set the drip and come back in an hour--dump out some water--repeat again.

For fish--just set them in the water in bag--acclimate by temp only---then net them and let them loose.
This is the best way and lots less stress on the fish.
Corals--same as inverts but not as long. Best to quarantine anything for 30-45 days.

For your tank.
The best thing to use is eggcrate which is what is used in ceiling lighting.
Then if need be you can use window screen in addition.
I suggest to do this over the tape idea.

HTH

Just wondering if you could seal a tank like that if you had a sump. If you could control the heat, wouldnt the gass exchange happen in the sump?