Hey all,
To preface, and as noted by other commenters, ALWAYS create a time machine backup with your pre-upgrade system setting, software, and files. Save yourself a lot of hassle.
In lieu of not backing up my previous OS via Time Machine, I was able to reinstall OS X Catalina using Internet Recovery Mode (Option + Command + R). Since I have the newest chip in my MacBook, the process wouldn't allow me erase my SSD drive before reinstalling OS X Catalina. As a workaround, I performed the following process: First, I booted in Recovery Mode (Command + R) and erased my SSD drive in the Disk Utility. Follow these directions in order to do this. Second, I rebooted in Internet Recovery Mode (mentioned supra). Third, I erased the SSD drive there too using the method in the link. Once that was completed, I quit the disk utility and then clicked Reinstall macOS. Worked like a charm. Reinstalling OS X from the basic Recovery Mode (Command +R) will not work because the reinstallation of macOS is for Big Sur––though it's the only way to first erase the SSD drive. After, Rebooting in Internet Recovery Mode (Option + Command + R) will allow you to reinstall Catalina. Disclaimer: On older generation MacBooks you may be able to simply use Internet Recovery Mode to erase and reinstall OS X.
Note: I didn't need to install Catalina on a flash drive or create a bootable installer.