Golf Lowest Score - With Set condition

Hi PLs check attached sheet with formulas

I added the following formulas to the following cells:

AA7:

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AA8:

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Copy those cells across to the In and TTL columns.

Then in AD7:

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Copy that formula to the cells below.
This will show both names in the case of a draw (assumed behaviour).

[EDIT] Beaten to the punch. A difference in behaviour with Amy's solution is that I have based the winner from the TTL (total?) column only rather than a sum of the out, in and TTL columns.
Take your pick depending on the required behaviour.
:o)

Thank you both for different solutions. Have decided to go with Amy's....

...and another way which uses the same formula that can be copied down.

AA7:
=IF(OR(AND(W7=W8,MOD(ROW(),2)=1),AND(W7=W6,MOD(ROW(),2)=0)),0.5,IF(W7=IF(MOD(ROW(),2)=1,MIN(W7,OFFSET(W7,1,0)),MIN(W7,OFFSET(W7,-1,0))),1,""))

copy across and down
AD7:
=IF(AD7=1,D7,"")
copied down.

Nice one Richard! I learn so much from all of you...

This thread is solved but how would the formula slightly changed if the conditions were as follows?

Conditions:
If tied = 0.5 (same as before)
Out 1 - 9 = 1 Point on lowest score who have won more holes from 1 to 9 (different condition)
In 10 - 18 = 1 Point on lowest score who have won more holes from 10 to 18 (different condition)
Total from above = 1 Point on lowest score (same as before)
Indicate Winner (same as before)

Example on result would be:
screenshot.jpg

Hi,

See the attached

Z, AA & AB are the holes won. I left the scores in place but you may just want to put these formulae directly in W:Y. If so Cut and paste NOT Copy and Paste