mortise-type lock for door with thin style

I like the advantage (and look) of a mortise lock where you can lock the door (or not) by just closing the door and then add further security by turning the key or nob to set the deadbolt.
However, my outside door has a glass panel with a wood style only 3.75" wide, which seems too narrow to support the mortise locks that I have seen. e.g., Baldwin's thinnest mortise is itself 3.75" deep which would allow no structural wood left.
So I am looking for one of two alternatives: 1. A thin mortise lock that would fit on such a style 2. A tubular lock and deadbolt combo that has similar functionality and that can be covered by a single escutcheon on the inside and outside so as to look like a mortise-type lock
Any recommendations?
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