FileSystemDirectoryHandle

const dirName = "directoryToGetName";

// assuming we have a directory handle: 'currentDirHandle'
const subDir = currentDirHandle.getDirectoryHandle(dirName, { create: true });

async function returnPathDirectories(directoryHandle) {
  // Get a file handle by showing a file picker:
  const handle = await self.showOpenFilePicker();
  if (!handle) {
    // User cancelled, or otherwise failed to open a file.
    return;
  }

  // Check if handle exists inside our directory handle
  const relativePaths = await directoryHandle.resolve(handle);

  if (relativePath === null) {
    // Not inside directory handle
  } else {
    // relativePath is an array of names, giving the relative path

    for (const name of relativePaths) {
      // log each entry
      console.log(name);
    }
  }
}

async function* getFilesRecursively(entry) {
  if (entry.kind === "file") {
    const file = await entry.getFile();
    if (file !== null) {
      file.relativePath = getRelativePath(entry);
      yield file;
    }
  } else if (entry.kind === "directory") {
    for await (const handle of entry.values()) {
      yield* getFilesRecursively(handle);
    }
  }
}
for await (const fileHandle of getFilesRecursively(directoryHandle)) {
  console.log(fileHandle);
}