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If you have a Hamlet, Watchtower, and Tunnel in hand, you should be able to do this:

Play Hamlet.
Discard Tunnel for +1 action, revealing Tunnel to gain a Gold, revealing Watchtower to put the Gold on top of your deck.
Discard Watchtower for +1 buy.

However, in the current UI the behavior is:

Play Hamlet.
Select "both" to discard two cards.
Select Tunnel and Watchtower.
Reveal Tunnel to gain a Gold. There is no prompt to reveal Watchtower, so you can't topdeck the Gold.

This happens because the Hamlet UI does not really follow the card rules, where each discard is a separate step. Instead it asks:
Discard for Action
Discard for Buy
Both
Don't Discard

(I'd suggest prompting as follows to adhere to the rules and still be reasonably convenient:

First prompt:
Discard for Action
Discard for Buy
Don't Discard

Second prompt, only appears if you selected "Discard for Action":
Discard for Buy
Don't Discard

So if you want to discard twice, you can pick Discard for Action the first time, then Discard for Buy the second time.)

Turn 7 - Lord Rattington
L plays a Remake.
L trashes a Copper and a Gold.
L draws 5 cards.

Screenshot attached. This doesn't seem to be an issue if I resize the window to be smaller.