Your requirements could not be resolved to an installable set of packages.
Problem 1
- drupal/search_api_autocomplete dev-1.x requires drupal/core ^10.2 || ^11 -> satisfiable by drupal/core[10.2.0-alpha1, ..., 10.4.x-dev, 11.0.0-alpha1, ..., 11.x-dev] from composer repo (https://repo.packagist.org) but drupal/core[10.1.x-dev] from path repo (core) has higher repository priority. The packages from the higher priority repository do not match your constraint and are therefore not installable. That repository is canonical so the lower priority repo's packages are not installable. See https://getcomposer.org/repoprio for details and assistance.
- drupal/search_api_autocomplete 1.x-dev is an alias of drupal/search_api_autocomplete dev-1.x and thus requires it to be installed too.
- Root composer.json requires drupal/search_api_autocomplete 1.x-dev -> satisfiable by drupal/search_api_autocomplete[1.x-dev (alias of dev-1.x)].
Use the option --with-all-dependencies (-W) to allow upgrades, downgrades and removals for packages currently locked to specific versions.