You all know that putting the tire back to the rim is a difficult job. I will show you the best way to do it without special tools. As any repair I perform, I always prefer the easiest path with minimal removal and the least adjustment.
You may choose either to patch the hole or to replace the inner tube. Patching the hole requires the least amount of re-adjustment.
If you choose to replace the inner tube, don’t remove the brake pads to minimize the repair efforts.
Most bike tires are very tight to put on the rim. The key observation is the center line of the rim has the smallest diameter, thus the tire beads to pushed to the center to make largest tolerance to allow the tire to be installed on the rim. Also move the air plug to upper position to allow easy installation.