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[1.5] Consistent Mechanoid Weapons

Yes

Is this redundant with Biotech Mechanoid Retexture mod?

Holy gem

Will you be able to add a texture for the beam repeater [rimworldwiki.com]added in Odyssey?

I expect it still works as it's just a retexture. I'll add 1.6 as a supported version soon but you should be fine to use it.

Will this mod receive a 1.6 update? It very much was one of my favourites, despite it's simplicity.

I looked at what mods that I've downloaded retexture the Beam Graser. I've found Vanilla Textures Expanded, Reinforced Mechanoids 2 & Morphs Assorted Biotech Retex.
You could add these to the <loadAfter> tag in the About.xml so it autosorts correctly:
<li>vanillaexpanded.vtexe</li>
<li>hlx.reinforcedmechanoids2</li>
<li>morphsassorted.biotechretex</li>

Put it lower on the load order, you must have some other mod that changes its texture, like a high res textures mod etc.

I have this mod but the beam grazers are still red

Could you add some red to the laser cannon so it's still recognizable as a different weapon class from all the mech charge weapons?