ci(node): check docs in CI (#2084)

* Make `npm run docs` fail if there are any warnings. This will catch
items missing from the API reference.
* Add a check in our CI to make sure `npm run dos` runs without warnings
and doesn't generate any new files (indicating it might be out-of-date.
* Hide constructors that aren't user facing.
* Remove unused enum `WriteMode`.

Closes #2068

docs/src/js/classes/Connection.md

@@ -23,18 +23,6 @@ be closed when they are garbage collected.
 Any created tables are independent and will continue to work even if
 the underlying connection has been closed.
 
-## Constructors
-
-### new Connection()
-
-```ts
-new Connection(): Connection
-```
-
-#### Returns
-
-[`Connection`](Connection.md)
-
 ## Methods
 
 ### close()
@@ -71,7 +59,7 @@ Creates a new empty Table
 * **name**: `string`
     The name of the table.
 
-* **schema**: `SchemaLike`
+* **schema**: [`SchemaLike`](../type-aliases/SchemaLike.md)
     The schema of the table
 
 * **options?**: `Partial`<[`CreateTableOptions`](../interfaces/CreateTableOptions.md)>
@@ -117,7 +105,7 @@ Creates a new Table and initialize it with new data.
 * **name**: `string`
     The name of the table.
 
-* **data**: `TableLike` \| `Record`<`string`, `unknown`>[]
+* **data**: [`TableLike`](../type-aliases/TableLike.md) \| `Record`<`string`, `unknown`>[]
     Non-empty Array of Records
     to be inserted into the table
 
@@ -189,7 +177,7 @@ Open a table in the database.
 * **name**: `string`
     The name of the table
 
-* **options?**: `Partial`<`OpenTableOptions`>
+* **options?**: `Partial`<[`OpenTableOptions`](../interfaces/OpenTableOptions.md)>
 
 #### Returns