diff --git a/docs/Project.toml b/docs/Project.toml
index 79e46876..72a0eeac 100644
--- a/docs/Project.toml
+++ b/docs/Project.toml
@@ -8,8 +8,8 @@ Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [compat]
 Documenter = "1"
-ForwardDiff = "0.10"
+ForwardDiff = "0.10, 1"
 Plots = "1"
-PrettyTables = "2"
+PrettyTables = "3"
 SymPy = "1, 2"
-Zygote = "0.6"
+Zygote = "0.6, 0.7"
diff --git a/docs/make.jl b/docs/make.jl
index fcae1918..782d98bd 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -74,4 +74,7 @@ makedocs(modules = [RootedTrees],
 
 deploydocs(repo = "github.com/SciML/RootedTrees.jl",
            devbranch = "main",
-           push_preview = true)
+           # Only push previews if all the relevant environment variables are non-empty.
+           push_preview = all(!isempty,
+                              (get(ENV, "GITHUB_TOKEN", ""),
+                               get(ENV, "DOCUMENTER_KEY", ""))))
diff --git a/docs/src/tutorials/basics.md b/docs/src/tutorials/basics.md
index 7b691172..935dfd75 100644
--- a/docs/src/tutorials/basics.md
+++ b/docs/src/tutorials/basics.md
@@ -118,7 +118,8 @@ the Julia package [PrettyTables.jl](https://github.com/ronisbr/PrettyTables.jl).
 ```@repl
 using RootedTrees, PrettyTables
 orders = 1:10
-pretty_table(hcat(orders, count_trees.(orders)), header=["Order", "# Trees"])
+pretty_table(hcat(orders, count_trees.(orders)),
+             column_labels = ["Order", "# Trees"])
 ```
 
 To get the corresponding number of Runge-Kutta (RK) order conditions, we must
@@ -127,7 +128,8 @@ sum up the number of trees, i.e.,
 ```@repl
 using RootedTrees, PrettyTables
 orders = 1:10
-pretty_table(hcat(orders, cumsum(count_trees.(orders))), header=["Order", "# RK Order Conditions"])
+pretty_table(hcat(orders, cumsum(count_trees.(orders))),
+             column_labels = ["Order", "# RK Order Conditions"])
 ```
 
 We can also visualize the exponential growth.