Dynamic Curio render texture

[Gentozik]

I am making a backpack item (TConstruct compat), which can be modified like an Actual Tinker tool. I got to an idea that renderer can render item dynamically. Code that I did, for example:

@Override
	public <T extends LivingEntity, M extends EntityModel<T>> void render(ItemStack stack, SlotContext slotContext, PoseStack matrixStack, RenderLayerParent<T, M> renderLayerParent, MultiBufferSource renderTypeBuffer, int light, float limbSwing, float limbSwingAmount, float partialTicks, float ageInTicks, float netHeadYaw, float headPitch) {
		if (renderLayerParent.getModel() instanceof HumanoidModel<?> model) {
			// Tool, its size and color 
			ToolStack tool = ToolStack.copyFrom(stack);
			int size = tool.getModifierLevel(TinThruDimModifiers.backpackModifier.get()) - 1;
			int colorCode = tool.getPersistentData().getInt(TConstruct.getResource("dyed"));

			// Setting base and additional translate and scale.
			double[] startTran = {0.0D, -0.3D, -0.2D};
			float[] startScale = {0.8F, 0.8F, 0.8F};

			double[] addTran = {0.0D, -0.005D, -0.001D};
			float[] addScale = {0.025F, 0.025F, 0.025F};


			matrixStack.pushPose();

			// Getting an RGBA of a color
			float colorRed = (float) (colorCode >> 16 & 255) / 255.0F;
        	float colorGreen = (float) (colorCode >> 8 & 255) / 255.0F;
        	float colorBlue = (float) (colorCode & 255) / 255.0F;
        	if (colorRed == 0.0F && colorRed == 0.0F && colorRed == 0.0F){ // If there isn`t a dyed modifier, set to default
            	colorRed = 1.0F;
            	colorGreen = 1.0F;
            	colorBlue = 1.0F;
        	}

			// Changing matrixStack so it can grow bigger, depending on a size modifier
			matrixStack.mulPose(Vector3f.XP.rotationDegrees(180.0F));
			matrixStack.translate(startTran[0], startTran[1] + addTran[1] * size, startTran[2] + addTran[2] * size);
			matrixStack.scale(startScale[0] + addScale[0] * size, startScale[1] + addScale[1] * size, startScale[2] + addScale[2] * size);

			// Rendering an item
			ItemInHandRenderer renderer = new ItemInHandRenderer(Minecraft.getInstance());
			renderer.renderItem(slotContext.entity(), stack, ItemTransforms.TransformType.FIXED, false, matrixStack, renderTypeBuffer, light);
			matrixStack.popPose();
		}
	}

And ive got how to render GUI for it (not in here, but still), but I dont know how to tint a texture depending on a color. Forge documentation doesnt really help, tutorials just do not exist, so Im trying to ask here. WIll be very grateful for a hint.