It's much easier to help if your data is reproducible. The data in the images doesn't have column names, but the following code reproduces the data frame and names the columns col1, col2 and col3:
df <- data.frame(col1 = rep(1:17, 2),
                 col2 = rep(c("A", "B"), each = 17),
                 col3 = rep(rep(c(FALSE, TRUE), 4), 
                            times = c(2, 10, 3, 4, 5, 3, 3, 4)))
To do what you need, we can group the data according to each run of TRUE or FALSE in column 3 using rleid from data.table, then insert a reverse integer sequence for the FALSE segments. Finally, ungroup, then shift the new column up one position using lead.
library(tidyverse)
df <- df %>%
  group_by(grp = data.table::rleid(col3)) %>%
  mutate(col4 = rev(seq(n())) * (1 - col3)) %>%
  group_by(col2) %>%
  mutate(col4 = lead(col4, default = 0)) %>%
  select(-grp)
The result matches your expected output:
print(df, n = 34)
#> # A tibble: 34 x 4
#>     col1 col2  col3   col4
#>    <int> <chr> <lgl> <dbl>
#>  1     1 A     FALSE     1
#>  2     2 A     FALSE     0
#>  3     3 A     TRUE      0
#>  4     4 A     TRUE      0
#>  5     5 A     TRUE      0
#>  6     6 A     TRUE      0
#>  7     7 A     TRUE      0
#>  8     8 A     TRUE      0
#>  9     9 A     TRUE      0
#> 10    10 A     TRUE      0
#> 11    11 A     TRUE      0
#> 12    12 A     TRUE      3
#> 13    13 A     FALSE     2
#> 14    14 A     FALSE     1
#> 15    15 A     FALSE     0
#> 16    16 A     TRUE      0
#> 17    17 A     TRUE      0
#> 18     1 B     TRUE      0
#> 19     2 B     TRUE      5
#> 20     3 B     FALSE     4
#> 21     4 B     FALSE     3
#> 22     5 B     FALSE     2
#> 23     6 B     FALSE     1
#> 24     7 B     FALSE     0
#> 25     8 B     TRUE      0
#> 26     9 B     TRUE      0
#> 27    10 B     TRUE      3
#> 28    11 B     FALSE     2
#> 29    12 B     FALSE     1
#> 30    13 B     FALSE     0
#> 31    14 B     TRUE      0
#> 32    15 B     TRUE      0
#> 33    16 B     TRUE      0
#> 34    17 B     TRUE      0
Created on 2022-09-07 with reprex v2.0.2