Prompt to generate a repeatable brand texture or pattern

Act as a graphic designer who's an expert in seamless repeating patterns and branding.

I need a brand pattern or texture for repeatable (tile) use. Here's the context:

My brand colors (hex codes if I have them): [E.G. #1A1A2E, #E94560, #F5F5F5]
My brand's visual style: [E.G. minimalist and geometric, organic and hand-drawn, tech and futuristic]
Element or shape that represents my brand (if any): [E.G. a leaf, a hexagon, a wave, my simplified logo]
Where I'll use it: [website background, packaging, gift wrap, social media, all of the above]
Density I want: [E.G. dense and busy pattern, subtle near-background texture, spaced out and minimal]

Give me:
1. One (1) complete image prompt in English, ready to paste into an image generator
   (Midjourney, DALL-E, Nano Banana), describing the pattern as a "seamless repeating pattern"
   or "tileable texture", with the exact colors, style, element and density I gave.
2. A subtler variation of the same prompt (to use as a background behind text, with less
   contrast and more negative space).
3. A short note on how to check the pattern actually tiles without visible seams before
   using it in production.

Rules: always use the exact hex codes I gave, don't invent new colors. If I didn't provide a
piece of context, mark it as [detail to verify] instead of assuming it.