Is it possible to set up a 2 out of 3 multisig AND a separate '1 out of all'?

[PrivacyG]

As I was reading about some multisig setups, this curiosity came to my mind.

Say I have three secure, privately owned locations.  My house, my farm and my apartment.  I can now set up a 2 out of 3 multisig.

But say I also have a fourth, extra secure location, such as a bunker no one can find or enter, hidden deep in the Ocean.  In my bunker, knowing no one will ever access it, I could store an emergency backup for my Bitcoin that would not require going to two separate locations to grab the Keys.

I do know the most basic answer would be having two or even all three Keys in the bunker.  But I have this curiosity, is it possible at all to set up a fourth Key that acts as an 'universal' one?

[Antidote47k]

Technically it should be possible. Bitcoin scripting allows alternative spending conditions, you can construct and analyze bitcoin spending policies with Miniscrpt. You would end up with four keys, A, B, C and D. The first three being the multisig setup and Key D being the master override.
The policy would be something like:
- Either two keys of A, B and C must sign or
- Key D alone can authorize.

Code:

 
 (A ∧ B) ∨ (A ∧ C) ∨ (B ∧ C) ∨ D

In simpler terms (2-of-3 multisig) or (Key D).

I think Taproot also offers another alternative, a single key spending path alongside a script path that enforces multisig.
Personally, I feel the setup defeats the whole aim of a multisig, which is needing more than a single key to authorize spending. If Key D were ever to be compromised then the multisig protection becomes null and void!