It sounds like your Beats Studio 3 Wireless headphones are experiencing some issues with charging and turning on. The symptoms you're describing, especially with the red blinking light and the unusual sequence of lights when attempting to charge or turn them on, could indeed indicate a problem, possibly water damage due to sweat during cycling.
Here are a few more steps you can try before considering a repair or replacement:
1. **Check the Charging Cable and Port**:
- Make sure the charging cable you're using is in good condition and is properly connected to a working power source.
- Ensure the charging port on the headphones is clean and free from debris.
2. **Try a Different Power Source**:
- Sometimes, using a different power adapter or USB port can make a difference.
3. **Further Reset Attempts**:
- Try a reset again, but this time hold the power button and volume down button for longer than 10 seconds (up to 20-30 seconds).
4. **Inspect for Water Damage**:
- Check for any signs of water or sweat damage around the charging port or inside the headphones. If you find any, gently clean it with a dry cloth and let it air dry thoroughly.
5. **Contact Beats Support**:
- If none of the above steps work, you might want to reach out to Beats Support directly. Even if the headphones are out of warranty, they may offer repair options.
6. **Consider Professional Repair**:
- If you're comfortable, you can also seek out a local electronics repair shop that specializes in headphones or visit an Apple Store for an assessment.
Given that these headphones are important to you, it's understandable that you want to exhaust all options before considering a replacement. However, water damage can sometimes cause internal issues that are difficult to resolve without professional assistance.