fig.update_layout() applies only to the attributes of the entire figure, and that's why you can't address attributes of subplots with fig.update_layout(row = 2, col = 2) like you can with fig.update_traces(row, col). So depending on what you'd like to achieve here, you're going to have to adjust the appearance of your subplots through specs and / or row_heights and column_widths in your make_subplots() call.
Here's an example using both approaches:

Complete code:
from plotly.subplots import make_subplots
import plotly.graph_objects as go
fig = make_subplots(
rows=5, cols=2,
column_widths = [0.7, 0.3],
row_heights = [0.2, 0.2, 0.2, 0.1, 0.1],
specs=[[{}, {"rowspan": 2}],
[{}, None],
[{"rowspan": 2, "colspan": 2}, None],
[None, None],
[{}, {}]],
# print_grid=True
)
fig.add_trace(go.Scatter(x=[1, 2], y=[1, 2], name="(1,1)"), row=1, col=1)
fig.add_trace(go.Scatter(x=[1, 2], y=[1, 2], name="(1,2)"), row=1, col=2)
fig.add_trace(go.Scatter(x=[1, 2], y=[1, 2], name="(2,1)"), row=2, col=1)
fig.add_trace(go.Scatter(x=[1, 2], y=[1, 2], name="(3,1)"), row=3, col=1)
fig.add_trace(go.Scatter(x=[1, 2], y=[1, 2], name="(5,1)"), row=5, col=1)
fig.add_trace(go.Scatter(x=[1, 2], y=[1, 2], name="(5,2)"), row=5, col=2)
fig.update_layout(height=600, width=600, title_text="specs examples")
fig.show()