How to mount 2" wooden blinds in a bay window?


I have a bay window where the centre window has 2 1/2" -3" of depth for top, inside mounting, but both side windows have ony 1"-1 1/4" for inside mounting, without hitting the lower sash. If I mount them outside of the window recess,to the ceiling of the cutout area, the centre blind will be almost 5" from the window itself. Any ideas ?

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