Firebase deploy returns error at tsc command

I've setup a Firebase project to create some basic Firebase Functions.
In the project I'm using TypeScript

Following the Firebase official documentation I created my project.

The last step, firebase deploy --only functions, gave an error with the tsc command.

$ firebase deploy --only functions

=== Deploying to ‘my-project’…

i  deploying functions
Running command: npm --prefix "$RESOURCE_DIR" run lint

> functions@ lint /path/to/functions
> tslint --project tsconfig.json

Running command: npm --prefix "$RESOURCE_DIR" run build

> functions@ build /path/to/functions
> tsc

node_modules/firebase-functions/lib/function-builder.d.ts(60,95): error TS1005: ';' expected.
node_modules/firebase-functions/lib/function-builder.d.ts(60,96): error TS1003: Identifier expected.
node_modules/firebase-functions/lib/function-builder.d.ts(60,116): error TS1005: ';' expected.
npm ERR! code ELIFECYCLE
npm ERR! errno 2
npm ERR! functions@ build: `tsc`
npm ERR! Exit status 2
npm ERR! 
npm ERR! Failed at the functions@ build script.
npm ERR! This is probably not a problem with npm. There is likely additional logging output above.

npm ERR! A complete log of this run can be found in:
npm ERR!     /some/path/.npm/_logs/2019-02-03T00_10_30_573Z-debug.log

Error: functions predeploy error: Command terminated with non-zero exit code2

Having trouble? Try firebase deploy --help

It seems that some of the Firebase library code does not pass the tsc compile/transpile step. I'm looking for a way to make this deploy step pass.

I've followed the suggestion given at this GitHub issue, which included:

• Adding --skipLibCheck to the tsc command
• Adding skipLibCheck to the project's generated functions/tsconfig.json
• Adding isolateModules to functions/tsconfig.json
• Adding ./functions/node_modules/@types to the typeRoots array in the functions/tsconfig.json file.
• Adding dom to compilerOptions.lib in functions/tsconfig.json

None of the above steps have worked for me.

How can I make my deployment to Firebase succeed?