@AConnelly
Please navigate to the make.powerautomate.com website, select 'Solutions', and create a new solution. Then, proceed to establish all necessary desktop flows and generate a publisher profile. Following this, export your solution, download the resultant file, and import it into a different environment.
So in short if you have premium license for Power Automate? If so then best way is to use export/import.

Or you could just login to the same account in Power Automate Desktop in the different computer.
But if you need to move just the Power Automate Desktop flow and don't have premium license and cant use the same Power Automate account then you can just copy and paste the code.
1. Select all actions (Ctrl + A) and copy them (Ctrl + C)

2. Paste the code into text editor like notepad

3. Move the notepad file which has all the code to the new computer
4. Copy the code from the note pad (in the new computer)

5. Paste the code to the new PAD flow

Note that the Power Automate Desktops should be same versions in both computers (or atleast the one that you created the flow on shouldn't be newer version than where the flow is moved to). So remember to update the new computers PAD to newest version.
https://www.linkedin.com/pulse/how-copypaste-power-automate-desktop-flows-another-computer-sharif/
Credits: @eetuRobo
Thanks,
Deenuji Loganathan 👩💻
Automation Evangelist 🤖
Follow me on LinkedIn 👥
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