I second Mike Boreham's advice to try the free utility "Mist" to create the flashdrive installer.
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Another path to try is this:
a. download the Tahoe installer file of your choice by using this collection of URL's at "Mr. Macintosh":
Download macOS Tahoe full installer with one click straight from Apple! Every version of Tahoe Beta & Final available all in one place!!
mrmacintosh.com
b. I recommend you download the installer file directly onto the desktop. Then, double-click it and it should download the full installer "pkg" file, also onto the desktop.
c. double-click this installer pkg file to run it.
IT DOES NOT INSTALL TAHOE. Instead, it installs the Tahoe installer app into your applications folder.
d. connect your external drive. It should be formatted to APFS, GUID partition format, and case should be INsensitive.
e. launch the installer app (in the Applications folder). Start clicking through.
f. when the installer asks WHERE you want to install, "point it" at the EXTERNAL drive. It may be necessary to enter your password once or twice to authorize this.
g. Let the installer do its job -- it will take a while.
h. When done, you should be up-and-running on the EXTERNAL drive, waiting for setup.
i. Either set up "completely fresh", or use setup assistant to migrate data from either your internal drive or another drive.
Good luck.