chore: update all dependencies (#76)

* chore: update all dependencies

* Fix redirected links

* Override the version constraints on pytest-split

* Test using AMS 8.2

* Try with Python 3.13

* Use update anybodycon 8.2 beta9

Author: melund

Parameter_studies_and_optimization/lesson3/lesson3.ipynb

@@ -120,9 +120,9 @@
     "````{admonition} Installing Python, Jupyter, and AnyPyTools\n",
     ":class: tip dropdown\n",
     "\n",
-    "The absolute easiest way to get the notebook running is with the [Pixi](https://pixi.sh/) package manager.\n",
+    "The absolute easiest way to get the notebook running is with the [Pixi](https://pixi.prefix.dev/) package manager.\n",
     "\n",
-    "Simply run the following command in a powershell terminal to install Pixi (or see [here for altinative installation methods](https://pixi.sh/latest/#__tabbed_1_2)):\n",
+    "Simply run the following command in a powershell terminal to install Pixi (or see [here for altinative installation methods](https://pixi.prefix.dev/latest/installation/)):\n",
     "\n",
     "```powershell\n",
     "iwr -useb https://pixi.sh/install.ps1 | iex\n",

contributing.md

@@ -43,7 +43,7 @@ them locally to view the layout and see results before pushing changes to the
 server. It is often not necesssary when making small fixes to existing
 tutorials. But when writing major new sections it nice to view how things look.
 
-The easiest way to install needed packages tools, is to have the [pixi package manger](https://pixi.sh) installed.
+The easiest way to install needed packages tools, is to have the [pixi package manger](https://pixi.prefix.dev/) installed.
 
 Then run the following commands to install the necesssary packages.