You should have minimum 5 ft but 6 ft is ideal. I've played pool where tables are 4 ft from the wall and it is too close. The standard pool cue length is 57" and the draw length is about 6" so 5 to 6 ft would be ideal.

Excuse my duh-ness but i'm having difficulty trying to follow whats going on here. Are these two photos an exact replica of your house and pool ? If not a hasty sketch with dimensions could help a lot. By kitchen wall do you mean the wall behind the bar ? And where is the pool wall ? Are you considering the covered area as being "inside" ? Sorry for all those questions lol Sometimes when you have a design problem you need to turn it inside out or on it's head. If you can't beat it maybe embrace it by making a feature of it : i.e. contrast by having the lightest colored pool surround and a great blue or tile inside and under the overhang, something that will echo the water color ? If you have a great covered area as in photo you'll most likely be spending a lot of time there and it could be soothing to be able to sometimes retire into a darker inside. In my book, 10M isn't small and also contrasting two floor colors doesn't necessarily make a space seem smaller and confined and may in fact even open it up. Could it be that you've thought yourself into a box here ? Sometimes one needs to give it all a good shake up and see how it resettles.

Okay, so I like it simple and modern, big stripes, big blocks, love this and this I really like uncluttered look. like this to https://www.houzz.com/photos/murphy-beds-modern-rendering-phvw-vp~24435627 , and I like my dark grey's and browns not to mention light blues, yellows, oranges and reds clashy aye.(not sure if these colors will work with the wood, really like the idea of staining the wood darker to more like this https://www.houzz.com/photos/rubin-residence-contemporary-bedroom-san-francisco-phvw-vp~5202610). But really interested in your ideas.

Sorry just seen the real estate plan doesn't show kitchen dimensions,below sketch shows measurements of kitchen