Build process is outdated

[mcmire]

In order to achieve standardization with our other libraries, we should:

• Remove browserify as a dependency
• Add tsup as a dependency (copy version from module template)
• Remove build.sh
• Add the build:types package script (copy from module template)
• Update the build package script to use tsup to compile the TypeScript code to JavaScript and tsc to create TypeScript declaration files.
• Rename the typings field in package.json to types
• Add exports field to package.json (copy from module template)
• Add module field to package.json (copy from module template)
• Add sideEffects field to package.json (copy from module template)
• Remove trailing slash from dist/ in files field