[v10.2.x] Docs: add time series visualization Play link (#85991)

Docs: add time series visualization Play link (#85885)

* docs/play shortcode: time series visualization

* Ran prettier

* Updated title to match title of dashboard in Grafana Play

---------

Co-authored-by: Isabel Matwawana <isabel.matwawana@grafana.com>
Co-authored-by: Isabel Matwawana <76437239+imatwawana@users.noreply.github.com>
(cherry picked from commit 765f20c555)

Co-authored-by: David Allen <david.allen@grafana.com>

docs/sources/panels-visualizations/visualizations/time-series/index.md

@@ -37,7 +37,7 @@ weight: 10
 
 {{< figure src="/static/img/docs/time-series-panel/time_series_small_example.png" max-width="1200px" caption="Time series" >}}
 
-Time series visualizations are the default and primary way to visualize time series data as a graph. They can render series as lines, points, or bars. They're versatile enough to display almost any time-series data. [This public demo dashboard](https://play.grafana.org/d/000000016/1-time-series-graphs?orgId=1) contains many different examples of how a time series visualization can be configured and styled.
+Time series visualizations are the default and primary way to visualize time series data as a graph. They can render series as lines, points, or bars. They're versatile enough to display almost any time-series data.
 
 {{% admonition type="note" %}}
 You can migrate from the old Graph visualization to the new time series visualization. To migrate, open the panel and click the **Migrate** button in the side pane.
@@ -47,6 +47,8 @@ The following video guides you through the creation steps and common customizati
 
 {{< youtube id="RKtW87cPxsw" >}}
 
+{{< docs/play title="Time Series Visualizations in Grafana" url="https://play.grafana.org/d/000000016/" >}}
+
 ## Tooltip options
 
 Tooltip options control the information overlay that appears when you hover over data points in the graph.