Using the Kitch variant of the launcher, but it should work similar to the Itch one:
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Open whichever page from the launcher:
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In the address bar, put the link of the game to be downloaded and press Enter:
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Beneath, you should get an Install button; click it:
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Choose the build (if different ones are available) and install location as desired, and confirm it:
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Once installed, to go to the downloaded files, you can either manually go to the install directory, or click the cog wheel in the bottom right, then “Manage”, then “Open folder in explorer”:
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Of the game files, the executable is the “index.html” one, and it runs on browsers:
And lastly, sorry if I made it longer than it should, but I didn’t know how familiar you are with the launcher overall.