Judging by the blade size, I assume 'cordless Makita' means a hand-held circular saw (not a table saw). You may struggle to get a clean result on melamine and potentially plywood using a hand saw without a track with a splinter guard.
I'm not sure that a hand-held circular saw and fine joinery are compatible. There are undoubtedly people on this forum who can achieve this, but for a non-professional, it may take quite a lot of trial and error to get the technique right (if possible at all) to achieve passable results. You may need to dial your expectations down, at least to start with, to avoid frustration.
Sandpaper is your friend in this case. I used to get good results with a basic cordless Dewalt circular saw with included construction blade + a lot of hand sanding.
If you still want to explore better blades then for ripping and cross-cutting hardwood, you may need to invest into two different blades.
Any Festool, Blue Bosch, Mafell, or CMT blades are capable of similar results. I am sure there are other good brands, but these 4 are widely available.
For sheet materials, it depends on the material. For instance, I would not use a good blade on OSB at all, as it will dull your fine blade quickly. For melamine and plywood, any 48+ tooth blade will probably do a reasonable job, provided your technique is right - i.e. score cut then actual cut.
Having said that - I would not bother making final cuts in melamine with a regular circular saw.
