Fix typos and update table in upgrade docs

doc/update/index.md

@@ -204,8 +204,8 @@ The following table, while not exhaustive, shows some examples of the supported
 upgrade paths.
 
 | Target version | Your version | Supported upgrade path                                                                               | Note                                                                                                                              |
-| --------------------- | ------------ | ------------------------ | ---- |
-| `14.1.0`                | `13.9.2`      | `13.9.2` -> `13.12.6` -> `14.0.5` -> `14.1.0` | Two intermediate versions are required: `13.12` and `14.0`, then `14.1`. |
+| -------------- | ------------ | ---------------------------------------------------------------------------------------------------- | --------------------------------------------------------------------------------------------------------------------------------- |
+| `14.1.2`       | `13.9.2`     | `13.9.2` -> `13.12.9` -> `14.0.7` -> `14.1.2`                                                        | Two intermediate versions are required: `13.12` and `14.0`, then `14.1`.                                                          |
 | `13.5.4`       | `12.9.2`     | `12.9.2` -> `12.10.14` -> `13.0.14`  -> `13.1.11` -> `13.5.4`                                        | Three intermediate versions are required: `12.10`, `13.0` and `13.1`, then `13.5.4`.                                              |
 | `13.2.10`      | `11.5.0`     | `11.5.0` -> `11.11.8` -> `12.0.12` -> `12.1.17` -> `12.10.14` -> `13.0.14` -> `13.1.11` -> `13.2.10` | Six intermediate versions are required: `11.11`, `12.0`, `12.1`, `12.10`, `13.0` and `13.1`, then `13.2.10`.                      |
 | `12.10.14`     | `11.3.4`     | `11.3.4` -> `11.11.8` -> `12.0.12` -> `12.1.17` -> `12.10.14`                                        | Three intermediate versions are required: `11.11`, `12.0` and `12.1`, then `12.10.14`.                                            |
@@ -222,7 +222,7 @@ cannot guarantee that upgrading between major versions will be seamless.
 
 It is required to follow the following upgrade steps to ensure a successful *major* version upgrade:
 
-1. Upgrade to the latest minor version of the preceeding major version.
+1. Upgrade to the latest minor version of the preceding major version.
 1. Upgrade to the first minor version (`X.0.Z`) of the target major version.
 1. Proceed with upgrading to a newer release.
 
@@ -379,7 +379,7 @@ and [Helm Chart deployments](https://docs.gitlab.com/charts/). They come with ap
 - Due to an issue where `BatchedBackgroundMigrationWorkers` were
   [not working](https://gitlab.com/gitlab-org/charts/gitlab/-/issues/2785#note_614738345)
   for self-managed instances, a [fix was created](https://gitlab.com/gitlab-org/gitlab/-/merge_requests/65106)
-  and a [14.0.Z](#1400) version was released. If you haven't udpated to 14.0.Z, you need
+  and a [14.0.Z](#1400) version was released. If you haven't updated to 14.0.Z, you need
   to update to at least 14.1.0 that contains the same fix before you update to
   a later version.