Summary

• add REST bindings and state for setting and deleting live process instance variables
• add Add/Edit/Delete controls to the live process instance variables tab while keeping history variables read-only
• preserve basic variable type parsing for booleans and numbers and add localized labels plus coverage
• clean up three existing lint issues in the touched Processes page

Reference

• Operaton REST OpenAPI, Update Process Variable: https://github.com/operaton/operaton/blob/main/engine-rest/engine-rest-openapi/src/main/templates/paths/process-instance/%7Bid%7D/variables/%7BvarName%7D/put.ftl
• Operaton REST OpenAPI, Delete Process Variable: https://github.com/operaton/operaton/blob/main/engine-rest/engine-rest-openapi/src/main/templates/paths/process-instance/%7Bid%7D/variables/%7BvarName%7D/delete.ftl

Verification

• node -e "JSON.parse(require('fs').readFileSync('public/locales/en-US/translation.json','utf8')); JSON.parse(require('fs').readFileSync('public/locales/de-DE/translation.json','utf8')); console.log('locale JSON ok')"
• npx eslint src/api/resources/process_instance.js src/api/resources/process_instance.test.js src/pages/Processes.jsx src/pages/Processes.test.jsx
• npx vitest run src/api/resources/process_instance.test.js src/pages/Processes.test.jsx
• npx vitest run --maxWorkers=4
• npm run build
• browser smoke at http://127.0.0.1:5175/processes/proc:1/instances/inst-9999/vars: reached login boundary with title Operaton and no console errors