Is there any API available that is both free and provides more precise location search capabilities than OpenStreetMap?

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There are many APIs available that offer more precise location search capabilities than OpenStreetMap, but they are not all free. Some examples include:

1. Google Maps API - Provides detailed maps and location data for a fee, but also offers a free tier with limited usage.

2. Bing Maps API - Offers precise location data and mapping services for a fee, but also has a free tier with limited usage.

3. Mapbox API - Provides mapping and location data services for a fee, but also offers a limited free tier.

4. HERE Maps API - Offers precise location data and mapping services for a fee, but also has a limited free tier.

5. TomTom Maps API - Provides detailed mapping and location data for a fee, with no free tier available.

It's worth noting that the level of precision available in any of these APIs will depend on the quality of the data they use, as well as the specific features and functionality of each platform.