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Uncommon defensive agreement?

This is an altered version of a problem that came up at the bridge club last week. I'm changing it because the clues about what to do on the actual hand were fairly obvious (a realization I had after I got it wrong), but I'm more interested in the general situation.

Matchpoints.

North
Q93
J852
Q7
AKQ3
East
A10
A7
A10832
J1094
W
N
E
S
1
1
1
1
2
X
P
2
P
P
3
P
P
P

Your double is card-showing and implied a doubleton spade.

Partner leads the 4 of diamonds (3/5), to your ace and declarer's 6. You play the ace of spades, 4 from declarer, 2 from partner (UDCA). You play your other spade, declarer plays the jack, and partner wins the king. Partner plays some third spade (I am intentionally not saying which for now).

The question is based around the idea that if partner has 5 spades you want to ruff low, but if partner has 6 spades you want to ruff ace in case partner has Qx of hearts. It's partly about whether you have an agreement (with your favorite partner) where in a situation like this partner can tell you whether the spade is being overruffed by which spade he plays back, and partly what you play if you don't have such an agreement.

I have such an agreement (please tell us what it is), so I base my play on which spade partner played back.
I don't have such an agreement, but my play still depends on which spade partner played back (please elaborate).
I don't have such an agreement, and I ruff low.
I don't have such an agreement, and I ruff ace.

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